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Finding the Third Proportional to 1,684,004,852,416 and 3,636,410,872,832

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Solution

The third proportional to 1,684,004,852,416 and 3,636,410,872,832 is: 7,852,402,572,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,004,852,416 : 3,636,410,872,832 = 3,636,410,872,832 : x
  2. Step 2: Convert to fraction form
    1,684,004,852,416/3,636,410,872,832 = 3,636,410,872,832/x
  3. Step 3: Cross multiply
    1,684,004,852,416x = 3,636,410,872,832 × 3,636,410,872,832
  4. Step 4: Simplify right side
    1,684,004,852,416x = 13,223,484,036,050,789,072,896,000
  5. Step 5: Solve for x
    x = 13,223,484,036,050,789,072,896,000/1,684,004,852,416
  6. Step 6: Final answer
    x = 7,852,402,572,996.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.